CAG@LOCS#5
I spent a very pleasant hour and a half at MugShotz tonight, so well compactified that i left without time to write up this entry. I'll return before i leave Bowling Green, but i'm in more of a communicative (contrast to commutative) at the moment than i expect to be then.
I have (re-)invented bruhat and schubert decompositions! In contrast to John Baez, i make a definite and significant distinction between bruhat cells and schubert cells: While both partition a certain infinite-dimensional but otherwise lie-like group G (with whom i am much better acquainted than a week ago), the former do so in the familiar bruhat fashion (G = BWB with B a bruhat subgroup and W a weyl group) while the latter "mod out" by appropriate column operations (G = BW'P with W' a (suitably smaller) weyl group (or monoid, as the case may be) and P a parabolic subgroup containing B but fixing the identity). My "upstairs home" for MASVs is nearly complete!
Amusingly, an anal-retentive mathematician might obsess over the search for upstairs homes while oblivious to zer own appropriate place in one. -_^
MugShotz has remodeled slightly (essentially removed the 1.5-person raised table at which my laptop and i sat last time) but otherwise appears as pristine and trendy as before, down to the sole barista with whom i chatted last time. Next time i'll see if their T-shirts are sweatshop-free: They offer a free large drink to anyone who wears their logo shirt in a photo of additional relevance or amusement by virtue of activity or location. It might just be convenient for me to take up the offer. I won't be forgetting my camera this year.
My two mochas there have been of high Bollo's quality. This time i used a house mug. ^_^ Although i do miss the flowery designs signature to the barista quoted on my facebook profile.
Incidentally, notation is utter buggery when one has 10+ symmetric groups (and their proper subgroups, "permutation groups") to define and track. Anyone (in particular LaTeXers) come across some similar but distinct alternatives to ^ and ~ (\widehat{} and \widetilde{}) as character accents?
Note to self: Find iPod and return to laptop case. On related note, tune car to 91.7FM in Bowling Green.
I have (re-)invented bruhat and schubert decompositions! In contrast to John Baez, i make a definite and significant distinction between bruhat cells and schubert cells: While both partition a certain infinite-dimensional but otherwise lie-like group G (with whom i am much better acquainted than a week ago), the former do so in the familiar bruhat fashion (G = BWB with B a bruhat subgroup and W a weyl group) while the latter "mod out" by appropriate column operations (G = BW'P with W' a (suitably smaller) weyl group (or monoid, as the case may be) and P a parabolic subgroup containing B but fixing the identity). My "upstairs home" for MASVs is nearly complete!
Amusingly, an anal-retentive mathematician might obsess over the search for upstairs homes while oblivious to zer own appropriate place in one. -_^
MugShotz has remodeled slightly (essentially removed the 1.5-person raised table at which my laptop and i sat last time) but otherwise appears as pristine and trendy as before, down to the sole barista with whom i chatted last time. Next time i'll see if their T-shirts are sweatshop-free: They offer a free large drink to anyone who wears their logo shirt in a photo of additional relevance or amusement by virtue of activity or location. It might just be convenient for me to take up the offer. I won't be forgetting my camera this year.
My two mochas there have been of high Bollo's quality. This time i used a house mug. ^_^ Although i do miss the flowery designs signature to the barista quoted on my facebook profile.
Incidentally, notation is utter buggery when one has 10+ symmetric groups (and their proper subgroups, "permutation groups") to define and track. Anyone (in particular LaTeXers) come across some similar but distinct alternatives to ^ and ~ (\widehat{} and \widetilde{}) as character accents?
Note to self: Find iPod and return to laptop case. On related note, tune car to 91.7FM in Bowling Green.